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Finding the Fourth Proportional to 160,897, 222,038.70 and 89,277.02

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Solution

The fourth proportional to 160,897, 222,038.70 and 89,277.02 is: 123,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,897 : 222,038.70 = 89,277.02 : x
  2. Step 2: Convert to fraction form
    160,897/222,038.70 = 89,277.02/x
  3. Step 3: Cross multiply
    160,897x = 222,038.70 × 89,277.02
  4. Step 4: Simplify right side
    160,897x = 19,822,953,460.67
  5. Step 5: Solve for x
    x = 19,822,953,460.67/160,897
  6. Step 6: Final answer
    x = 123,202.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.